Answer:
B (-2, 2)
Step-by-step explanation:
The midpoint equation is:
[tex]x \frac{}{m} = \frac{x \frac{}{2} + x \frac{}{1} }{2} [/tex]
[tex]y \frac{}{m} = \frac{y \frac{}{2} + y \frac{}{1} }{2} [/tex]
Then:
[tex]x \frac{}{1} = 2x \frac{}{m} - x \frac{}{2} [/tex]
[tex]y \frac{}{1} = 2y \frac{}{m} - y\frac{}{2}[/tex]
[tex]x \frac{}{1} = 2( - 4) - ( - 6) \\x \frac{}{1} = - 8 + 6 \\ x \frac{}{1} = - 2[/tex]
[tex]y \frac{}{1} = 2(2) - 2 \\ y \frac{}{1} = 4 - 2 \\ y \frac{}{1} = 2[/tex]
